Bad Call with KK

[StojkeAK]

I was playing in a .5/1 home game at a full table, most people were in for 45-60. I had about 38 and the other 2 in the hand had me covered. My image is very tight/rockish, the other 2 were also fairly tight.
I get KK in middle position and make it 5 all day (standard raise) I get 1 caller right after me and a caller from LP. The flop is 8 8 5 with 2 spades. I lead out for 15 (leaving myself with 18) and get raised for my remaining 18 by the player to my left. The player from LP then goes all in.
I called and I'm not sure if it was the right play, was it?

Results in white:
<font color="white">Second player had A 9 spades
LP had 8 9
Turn and river made a straight to their 9 and I lost </font>